4f-3=f^2

Solution for 4f-3=f^2 equation:

Simplifying
4f + -3 = f2

Reorder the terms:
-3 + 4f = f2

Solving
-3 + 4f = f2

Solving for variable 'f'.

Combine like terms: f2 + -1f2 = 0
-3 + 4f + -1f2 = 0

Factor a trinomial.
(-3 + f)(1 + -1f) = 0

Subproblem 1
Set the factor '(-3 + f)' equal to zero and attempt to solve:

Simplifying
-3 + f = 0

Solving
-3 + f = 0

Move all terms containing f to the left, all other terms to the right.

Add '3' to each side of the equation.
-3 + 3 + f = 0 + 3

Combine like terms: -3 + 3 = 0
0 + f = 0 + 3
f = 0 + 3

Combine like terms: 0 + 3 = 3
f = 3

Simplifying
f = 3
Subproblem 2
Set the factor '(1 + -1f)' equal to zero and attempt to solve:

Simplifying
1 + -1f = 0

Solving
1 + -1f = 0

Move all terms containing f to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1f = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1f = 0 + -1
-1f = 0 + -1

Combine like terms: 0 + -1 = -1
-1f = -1

Divide each side by '-1'.
f = 1

Simplifying
f = 1
Solution
f = {3, 1}